Sophie Germain
Sophie Germain was born in Paris, in 1776. She was self-educated until the age of 18, then she studied notes from the newly established Ecole Polytechnique., where women were not admitted.
She disguised herself as a male student, under the name of Le Blanc, and submitted a paper on analysis which impressed mathematician Joseph-Louis Lagrange, that he became her personal tutor.
She corresponded with mathematicians Andrien-Marie, and Carl Friedrich Gauss. She also gave a more generalized proof of the 'last theorem' (the most famous unsolved problem in mathematics).
She also developed a mathematical explanation of the 'Chladni figure'. And, she wrote Recherches sur la theorie des surface elastiques was published in 1821, as well as philosophical works such as Pensees diverses.